2015-2016 Curriculum Blueprint
Grade: 4
Course: Mathematics
Topic 2 – Fluently Add and Subtract Multi-Digit Whole Numbers
Flexible Time
Line
7 days
Topic Overview
Fluently add and subtract multi-digit whole numbers by using strategies such as counting on, compensation, inverse operations, and the standard algorithm.
Please review Table 1: Common Addition and Subtraction Situations (Page 88) to ensure students opportunities with all types of addition and subtraction
problems.
Vertical Progression
rd
3 Grade:
 Students understood how to fluently add and subtract within 1,000.
th
5 Grade:
 Students will use models to add and subtract decimals to hundredths.
Learning Goal
Essential Questions
Students can fluently add and subtract numbers up to 1,000,000.
How can sums and differences of whole numbers be estimated?
Topic 4 Scale
What are standard procedures for adding and subtracting whole
numbers?
Textbook Correlation
Recommended Instructional Sequence
Essential Vocabulary
*Be selective in choosing problems aligned to the standards
Step 1: Problem-Based Learning “Solve and Share”
 Commutative
within the topic. Lessons and problems used for instruction
Problem-Based Learning Lesson Flow Map
Property of Addition
and assessment should be determined through collaborative
Conceptual understanding is developed when mathematics is
 Associative Property
unit planning.
introduced in the context of solving a real problem in which
of Addition
ideas related to the new content are embedded. Conceptual
 Identity Property of
Topic 2: Fluently Add and Subtract Multi-Digit Whole
understanding results because the process of solving a problem
Addition
Numbers
requires students to connect their prior knowledge with the new
Lesson 2-1: Mental Math: Find Sums and Differences
concept or procedure (Charles, R., Bay-Williams, J., et al., 2016).  counting on
 compensation
Lesson 2-2: Mental Math: Estimate Sums and Differences
 variable
Lesson 2-3: Add Whole Numbers
Each lesson in the book begins with a Solve and Share. See the
Lesson 2-4: Subtract Whole Numbers
links below for additional tasks to be used as needed:
 algorithm
Lesson 2-5: Subtract Across Zeros
 inverse operations
Lesson 2-6: Mathematical Practices and Problem Solving:
Math Formative Assessment System (MFAS) Tasks by Standard
Reasoning
Illustrative Mathematics Tasks by Standard
**The following standard is not addressed in textbook. See
additional resources.
MAFS.4.OA.1.b
Step 2: “Visual Learning Bridge”
Enhance student learning by connecting student thinking and
solutions from the Solve and Share to the new ideas of the
lesson through the use of the worked-out problem in the
textbook.
Deconstructed Standards
MAFS.4.NBT.2.4 (DOK 1) Fluently add and subtract multi-digit whole numbers using the standard algorithm.
 Fluently add and subtract multi-digit whole numbers using the standard algorithm.
MAFS.4.OA.1.3 (DOK 2) Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including
problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the
reasonableness of answers using mental computation and estimation strategies including rounding.
 Divide whole numbers including division with remainders.
 Represent multi-step word problems using equations with a letter standing for the unknown quantity.
 Interpret multi-step word problems (including problems in which remainders must be interpreted) and determine the appropriate operations to
solve.
 Assess the reasonableness of an answer in solving a multi-step word problem using mental math and estimation strategies (including rounding.)
MAFS.4.OA.1.b Determine the unknown whole number in an equation relating four whole numbers using comparative relational thinking. For example, solve
76 + 9 = n + 5 for n by arguing that nine is four more than five, so the unknown number must be four greater than 76.
Math Practice Standard(s)
Link to Mathematical Practice Standards Rubric
MAFS.K12.MP.2.1 Reason abstractly and quantitatively.
MAFS.K12.MP.7.1 Look for and make use of structure.
Additional Resources & Links
Higher Order Questions & Writing Connections
MAFS.4.OA.1.b: Is my equation TRUE or FALSE?
Link to Webb’s DOK Guide
*Higher order questions should be utilized to foster a deep, conceptual
Georgia Units
understanding of the topic. Encouraging students to express their
Unit 1
mathematical thinking in writing helps them solidify their learning.
 NFL Salaries
Engage New York Module 1
Topic D
Topic E
EngageNY Math Studio Talk: Common Core Instruction for 4.NBT
This video addresses strategies for fluently adding and subtracting whole numbers.
(Beginning of video – 5:18)
* YouTube must already be opened on your browser before clicking the link.
Table 1: Common Addition and Subtraction Situations (Page 88)
Common Core State Standards for Mathematics
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Write to explain the difference between rounding and estimating.
Write to justify your conclusion.
Compare and contrast a peer’s solution method to yours.
What determines the value of a number?
What happens to a digit when multiplied or divided by 10?
How can we compare large numbers and why is it important?
How can I ensure my answer is reasonable?
What is the benefit of checking the reasonableness of your answer?
How can you solve that problem in a different way?
How can you determine which strategy is best for solving a certain
problem?
Write a situation equation to represent the word problem.
Home-School Connection Page
Reteaching Pages

Create a word problem that matches the given equation.
Florida Interim Assessment Item Bank and Test Platform
Marzano Proficiency Scales Bank
Math Formative Assessment System (MFAS) Tasks by Standard
CPALMS -MFAS includes tasks and rubrics that the teacher can implement with
their students.
Illustrative Mathematics Tasks by Standard
The site illustrates standards with impeccably crafted tasks, videos, lesson
plans, and curriculum modules.
Common Core Flip Books: Provides additional information and sample problems
for every standard
FSA Test Item Specifications
Spiral Review
*Consistent review of previously learned standards allows students multiple opportunities to master and build fluency with mathematical concepts and
procedures.
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Daily Review 2-1 through 2-6